Question

What is the slope intercept of (8 -8) and a slope of -1

Answer 1

We are to find the equation of a line using slope-intercept form

Given, slope = -1 and point (8,-8)

The slope-intercept equation is given to be

`y=mx+c`

From the point (8, -8)

x = 8, y = -8

Substituting the values of x and y from into the equation

slope, m = -1

We have

`-8=(-1)(8)+c`

Simplifying this we get

`\begin{gathered} -8=-8+c \\ -8+8=c \\ c=0 \end{gathered}`

Hence, c = 0

Substituting the value of c and m into the slope-intercept equation

We get

`y=-1x+0`

The equation become

`y=-x`